• Title/Summary/Keyword: Integral Absolute Error

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A Study on Fuzzy Controller for Autonomous Mobile Robot (자율 이동 로보트의 퍼지 제어기에 관한 연구)

  • 주영훈;황희수;고재원;김성권;황금찬;우광방
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.9
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    • pp.1071-1084
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    • 1992
  • In this paper, the method for navigation and obstacle avoidance of the autonomous mobile robot is proposed. The proposed algorithms are based on the fuzzy inference system which is able to deal with imprecise and uncertain information. The self-tuning algorithm, which adopts the simplex method, modifies the parameters of membership functions of the input-output linguistic variables by changing the support of these fuzzy sets according to the integral of absolute error(IAE) of the system response. The wall-follwing navigation and obstacle avoidance of the mobile robot are based on range data measured from the internal sensors(encoder) and the outer sensors(sonar sensor). In addition, the algorithm for the obstacle detection proposed in this paper is based on the expert's experience. Finally, the effectiveness of navigation and obstacle avoidance algorithm is demonstrated through simulation and experiment.

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Automated Drug Infusion System Based on Fuzzy PID Control during Acute Hypotension

  • Kashihara, Koji
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.186-189
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    • 2005
  • In a clinical setting, developing a reliable method for the automated drug infusion system would improve a drug therapy under the unexpected and acute changes of hemodynamics. The conventional proportional-integral-derivative (PID) controller might not be able to achieve maximum performance because of the unexpected change of the intra- and inter-patient variability. The fuzzy PID control and the conventional PID control were tested under the unexpected response of mean arterial blood pressure (MAP) to a vasopressor agent during acute hypotension. Compared with the conventional PID control, the fuzzy PID control performed the robust MAP regulation regardless of the unexpected MAP response (average absolute value of the error between target value and actual MAP: 0.98 vs. 2.93 mmHg in twice response of the expected MAP and 2.59 vs. 9.75 mmHg in three-times response of the expected MAP). The result was due to the adaptive change of the proportional gain in PID parameters.

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Development of Kalman Hybrid Redundancy for Sensor Fault-Tolerant of Safety Critical System (Safety Critical 시스템의 센서 결함 허용을 위한 Kalman Hybrid Redundancy 개발)

  • Kim, Man-Ho;Lee, Suk;Lee, Kyung-Chang
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.11
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    • pp.1180-1188
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    • 2008
  • As many systems depend on electronics, concern for fault tolerance is growing rapidly in the safety critical system such as intelligent vehicle. In order to make system fault tolerant, there has been a body of research mainly from aerospace field including predictive hybrid redundancy by Lee. Although the predictive hybrid redundancy has the fault tolerant mechanism to satisfy the fault tolerant requirement of safety crucial system such as x-by-wire system, it suffers form the variability of prediction performance according to the input feature of system. As an alternative to the prediction method of predictive hybrid redundancy for robust fault tolerant, Kalman prediction has attracted some attention because of its well-known and often-used with its structure called Kalman hybrid redundancy. In addition, several numerical simulation results are given where the Kalman hybrid redundancy outperforms with predictive smoothing voter.

A Design of PID controller in Two-Mass System Using Optimal Pole Assignment (최적 극배치를 이용한 2관성 공진계의 PID 제어기 설계)

  • Jeon, Don-Su;Kim, Dong-Hwa
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.815-817
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    • 1999
  • In the two-mass system driving a load through a flexible shaft or transmission system, a shaft torsional vibration is often generated. In this case, it's difficult to control only by conventional PI controller. To solve this problem. the two-mass speed control system with PID controller is designed by using pole assignment method, and an optimum PID parameters are derived by evaluating ITAE(Integral of time multiplied by the absolute error) performance index. Simulation results show the validity of the proposed PID controller and this controller is compared with the conventional PID controller.

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Optimal Design of Scaling Factor Tuning of Fuzzy Logic Controller Using Genetic Algorithm (유전알고리즘을 이용한 이득요소 동조 퍼지 제어기 최적설계)

  • Hwang, Yong-Won;Oh, Jin-Soo;Park, Kun-Hwa;Hong, Young-Jun;Nam, Moon-Hyon
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.897-899
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    • 1999
  • This paper presents a scaling factor tuning method to improve the performance of fuzzy logic controller. Tuning rules and reasoning are utilized off-line to determine the scaling factors based on absolute value of the error and its difference. In this paper We proposed a new method to generate fuzzy logic controllers throught genetic algorithm. The developed approach is subsequently applied to the design of proportional plus integral type fuzzy controller for a dc-servo motor control system. The performance of this control system is demonstrated higher than a conventional fuzzy logic controller(FLC).

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A Study on the Optimal Design of the PI Controller under the Various Constraints (각종 제한조건하에서의 PI제어기의 최적설계에 관한 연구)

  • 오세준;진강규
    • Journal of Advanced Marine Engineering and Technology
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    • v.6 no.2
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    • pp.42-50
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    • 1982
  • The controller, generally, is to be designed to optimize the system in somesence subject to some constraints. In this paper the method to determine the optimal parameters of the PI controller in the unity feed back control system is proposed. Here the sence of the optimal is to minimize the integral of the squared error under the constraints that the maximum absolute value of control input, maximum overshoot, rise time, etc., should be smaller than the pre-given values. In the analysis the traditional method and the state variable method are combined in order to reduce the computational procedures required in the design of PI controller. Therefore, the procedure proposed in the paper is usefully applicable to the controller system with a general second-order plant. Finally, the indicial response curves generated at the optimal state are compared with those of non-optimal state and the effectiveness of this method is assertained.

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Optimal Auto-tuning Algorithm for Hybrid Fuzzy PID Controller (하이브리드 퍼지 PID 제어기의 최적 자동동조 알고리즘)

  • Jeong, Byoung-Jo;Oh, Sung-Kwun;Jang, Sung-Whan
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2114-2116
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    • 2002
  • 본 논문은 개선된 Complex 방법을 이용한 하이브리드 퍼지 PID 제어기의 최적 자동동조 알고리즘을 제안한다. 제어응답은 퍼지제어기의 환산계수 값에 의해 여러 종류, 여러 형태로 변화하기 때문에 해당하는 제어계의 평가 기준을 만족하도록 제어 파라미터 값을 정하는 것이 중요하다. PID 파라미터 조정법에는 많은 방법이 제안되어 왔었다. 대표적인 예로서 Ziegler-Nichols, Cohen-Coon, Chien-Hrones-Reswick(CHR) 등에 의해 제안된 방법들이 있다. 본 논문에서는 개선된 Complex 방법을 이용한 강력한 자동동조 알고리즘이 하이브리드 퍼지 PID 제어기의 성능을 자동적으로 개선하기 위해 사용된다. 이 알고리즘은 하이브리드 퍼지 PID 파라미터와 환산계수를 제어출력 변화율과 제한조건에 따라 자동으로 추정한다. 지연시간을 갖는 1계, 2계 공정에 적용하고. 공정출력 기준치는 단위 입력으로 한다. 제어 결과의 성능평가를 위해 ITAE(Integral of Time multiplied by the Absolute value of Error)가 사용되며, 또한 제어기의 오버슈트도 토의된다.

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The Design of Hybrid Fuzzy Controller Based on Parameter Estimation Mode Using Genetic Algorithms (유전자 알고리즘을 이용한 파라미터 추정모드기반 하이브리드 퍼지 제어기의 설계)

  • 이대근;오성권;장성환
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.228-231
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    • 2000
  • A hybrid fuzzy controller by means of the genetic algorithms is presented. The control input for the system in the HFC is a convex combination of the FLC's output in transient state and PlD's output in steady state by a fuzzy variable. The HFC combined a PID controller with a fuzzy controller concurrently produces the better output performance than any other controller. A auto-tuning algorithms is presented to automatically improve the performance of hybrid fuzzy controller using genetic algorithms. The algorithms estimates automatical Iy the optimal values of scaling factors, PID parameters and membership function parameters of fuzzy control rules. Especially, in order to auto-tune scaling factors and PID parameters of HFC using GA three kinds of estimation modes are effectively utilized. The HFCs are applied to the second process with time-delay. Computer simulations are conducted at step input and the performances of systems are evaluated and also discussed in ITAE(Integral of the Time multiplied by the Absolute value of Error ) and other ways.

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Design of Cascade Controller With Structure of Smith - Predictor (스미스 예측기 구조를 갖는 Cascadede 제어기 설계)

  • Cho, Joon-Ho;Lee, Won-Hyok;Hwang, Hyung-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.8
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    • pp.1447-1453
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    • 2008
  • In this paper, we proposed to improve performance of the design of a cascade controller with the smith-predictor structure. The parameters of controller in the inner loop are determined to minimize the integral of time multiplied by the absolute value of error (ITAE) value of performance Index. The controller of outer loop and parameters of Smith-Predictor can be obtain using reduction model. The model reduction is considered that it is the transient response and the steady-state response through the use of nyquist curve. Simulation examples are given to show the better performance of the proposed method than conventional methods.

ON TRIGONOMETRICALLY QUASI-CONVEX FUNCTIONS

  • Numan, Selim;Iscan, Imdat
    • Honam Mathematical Journal
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    • v.43 no.1
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    • pp.130-140
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    • 2021
  • In this paper, we introduce and study the concept of trigonometrically quasi-convex function. We prove Hermite-Hadamard type inequalities for the newly introduced class of functions and obtain some new Hermite-Hadamard inequalities for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is trigonometrically quasi-convex convex. We also extend our initial results to functions of several variables. Next, we point out some applications of our results to give estimates for the approximation error of the integral the function in the trapezoidal formula.